List of top Questions asked in Delhi UMET/DPMT

A piston filled in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length $13\, cm,41\, cm$ and $69 \,cm$. The frequency of tuning fork, if velocity of sound is $350\, ms^{-1}$ is
$\gamma -$ rays are originated from
Suppose the gravitational force varies inversely as the $n^{th}$ power of distance. Then the time period of a planet in circular orbit of radius $R$ around the sun will be proportional to
A string has tension $T$. For tripling the frequency, the tension in string will become
A block $C$ of mass m is moving with velocity $ {{v}_{o}} $ and collides elastically with block $A$ of mass m and connected to another block $B$ of mass $2m$ through spring of spring constant $k$. What is $k$, if $ x_o $ is compression of spring when velocity of $A$ and $B$ is same?
In the nuclear reaction, ${ }_{72} X^{180} {->[-\alpha]} Y {->[-\beta]} Z {->[-\alpha]} A {->[-\gamma]} P$ the atomic mass and atomic number of $P$ are, respectively
If a particle executes SHM with angular velocity $3.5 \,rad\, s^{-1}$ and maximum acceleration $7.5\, ms^{-2},$then the amplitude of oscillation will be
A coin placed on a rotating turntable just slips, if it is placed at a distance of $8\, cm$ from the centre. If angular speed of the turntable is doubled, it will just slip at a distance of:
Hailstone at $0^{\circ}C $ falls from a height of $1\, km$ on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt? $ (g=10\,m/s^{2})$ (Latent heat of ice $ =3.34\times 10^{5}J/kg$)
Two simple pendulums whose lengths are $100\, cm$ and $121\, cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will be the two be in phase again?
A body executing SHM has its velocity $10\, cm/s$ and $7\, cm/s$, when its displacements from the mean position are $3\, cm$ and $4 \,cm$, respectively The length of path is :
Orbital is :
Which of the following is not hydrolysed?
The $SI$ unit of magnetic flux is
Which of the following gas is linear?
The enthalpy change $ (\Delta H) $ for the neutralisation of $M\,HCl $ by caustic potash in dilute solution at $298\, K$ is :
A radioactive sample is emitting $64 $ times radiations than non-hazardous limit. If its half life is $2h$, after what time it becomes non-hazardous?
When a man increases his speed by $2\, ms^{-1}$, the finds that his kinetic energy is doubled, the original speed of the man is
What is the drift velocity of electons, if the current flowing through a copper wire of $1\,mm$ diameter is $1.1\, A$ ? Assume that each atom of copper contributes on electron (Given, density of $Cu= 9 g \, cm^{-3}$ and atomic weight of $Cu = 63$)
Magnification of a compound microscope is $30$. Focal length of eyepiece is $5\, cm$ and the image is formed at a distance of distinct vision $25\, cm$. The magnification of the objective lens is :
If percentage change in current through resistor is $1\%$, then the change in power through it would be :
Escape velocity from a planet is $ V_{e}$ . If its mass is increased to $8$ times and its radius is increased to $2$ times, then the new escape velocity would be:
Calculate the amount of heat (in calories) required to convert $5\, g$ of ice at $0^{\circ}C$ to steam at $100^{\circ}C$ .
A ray falls on a prism $ABC.(AB = BC)$ and travels as shown in figure. The least value of refractive index of material of the prism, should be:
A body takes time $t$ to reach the bottom of an inclined plane of angle $ \theta $ with the horizontal. If the plane is made rough, time taken now is $2t$. The coefficient of friction of the rough surface is: